U-tiling: UQC1215
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1049 |
*22222 |
(2,5,3) |
{6,6} |
{4.4.3.3.4.4}{4.4.3.4.4.3} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
True
|
|
sqc8274
|
|
P4/mmm |
123 |
tetragonal |
{6,5} |
12 |
(2,5) |
|
G
|
False
|
|
sqc8450
|
|
I4122 |
98 |
tetragonal |
{6,6} |
12 |
(2,6) |
|
D
|
False
|
|
sqc2416
|
|
P4222 |
93 |
tetragonal |
{6,6} |
6 |
(2,5) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {4.4.3.3.4.4}{4.4.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.1:144:37 4 5 24 25 26 18 46 13 14 33 34 35 55 22 23 36 73 31 32 40 41 60 61 62 72 49 50 78 79 80 90 58 59 99 109 67 68 96 97 98 76 77 108 118 85 86 105 106 107 127 94 95 136 103 104 112 113 132 133 134 126 121 122 141 142 143 130 131 144 139 140,2 7 40 6 9 11 16 49 15 18 20 25 58 24 27 29 34 76 33 36 38 43 42 45 47 52 51 54 56 61 60 63 65 70 112 69 72 74 79 78 81 83 88 121 87 90 92 97 130 96 99 101 106 139 105 108 110 115 114 117 119 124 123 126 128 133 132 135 137 142 141 144,19 3 5 87 8 27 28 12 14 69 17 36 21 23 105 26 30 32 96 35 55 39 41 123 44 63 73 48 50 114 53 81 57 59 141 62 91 66 68 71 99 75 77 132 80 100 84 86 89 108 93 95 98 102 104 107 127 111 113 116 135 136 120 122 125 144 129 131 134 138 140 143:3 4 4 3 4 3 3 4 4 4 4 3 4 3 4 3 3 4 4 4,6 6 6 6 6 6 6 6 6 6 6 6> {(2, 27): 't1', (0, 51): 't2*tau3^-1', (0, 60): 'tau2^-1*t3^-1', (0, 53): 't2', (0, 62): 'tau2^-1', (0, 107): 'tau3^-1', (0, 125): 'tau1', (2, 135): 't1^-1*tau3^-1*t2', (0, 115): 't2*tau3^-1*t1^-1', (2, 107): 'tau3^-1*t2', (0, 131): 't1*tau3*t2^-1', (0, 140): 'tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1', (0, 24): 't1^-1', (2, 131): 't1', (0, 142): 'tau2^-1*t3^-1', (0, 59): 'tau2^-1*t3^-1', (2, 98): 'tau2*t3', (2, 23): 't1^-1', (0, 26): 't1^-1', (0, 135): 't1^-1', (0, 61): 'tau2^-1*t3^-1', (1, 75): 't1^-1', (2, 143): 't1^-1*tau3^-1*t2', (0, 50): 't2*tau3^-1', (0, 52): 't2*tau3^-1', (0, 23): 't1^-1', (2, 134): 'tau2*t3', (0, 141): 'tau2^-1*t3^-1', (1, 102): 't1', (0, 44): 't3', (0, 25): 't1^-1', (2, 99): 'tau3^-1*t2', (0, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 126): 'tau2*t3', (2, 35): 't1', (0, 27): 't1', (0, 132): 't1*tau3*t2^-1', }